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Finding the Fourth Proportional to 824.84, 1,235.44 and 439.28

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Solution

The fourth proportional to 824.84, 1,235.44 and 439.28 is: 657.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.84 : 1,235.44 = 439.28 : x
  2. Step 2: Convert to fraction form
    824.84/1,235.44 = 439.28/x
  3. Step 3: Cross multiply
    824.84x = 1,235.44 × 439.28
  4. Step 4: Simplify right side
    824.84x = 542,704.08
  5. Step 5: Solve for x
    x = 542,704.08/824.84
  6. Step 6: Final answer
    x = 657.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.